Question
Evaluate: $\frac{2 \sin ^2 60^{\circ}-\tan ^2 30^{\circ}}{\sec ^2 45^{\circ}}$

Answer

$\frac{2\left(\frac{\sqrt{3}}{2}\right)^2-\left(\frac{1}{\sqrt{3}}\right)^2}{(\sqrt{2})^2}$
$=\frac{7}{12}$

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